The skein polynomial of freely periodic knots

Nafaa Chbili

doi:10.1016/S0166-8641(01)00093-1

The skein polynomial of freely periodic knots

Nafaa Chbili

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We use the first coefficient of the HOMFLY polynomial to find a necessary condition for a knot to be freely periodic. In particular for p=3 we obtain a simple but powerful criterion. As an application we show that some knot cannot have a certain free period.

Original language	English
Pages (from-to)	535-542
Number of pages	8
Journal	Topology and its Applications
Volume	121
Issue number	3
DOIs	https://doi.org/10.1016/S0166-8641(01)00093-1
Publication status	Published - Jun 30 2002
Externally published	Yes

Keywords

Freely periodic
HOMFLY polynomial
Knots and links

ASJC Scopus subject areas

Geometry and Topology

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10.1016/S0166-8641(01)00093-1

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title = "The skein polynomial of freely periodic knots",

abstract = "We use the first coefficient of the HOMFLY polynomial to find a necessary condition for a knot to be freely periodic. In particular for p=3 we obtain a simple but powerful criterion. As an application we show that some knot cannot have a certain free period.",

keywords = "Freely periodic, HOMFLY polynomial, Knots and links",

author = "Nafaa Chbili",

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doi = "10.1016/S0166-8641(01)00093-1",

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AU - Chbili, Nafaa

PY - 2002/6/30

Y1 - 2002/6/30

N2 - We use the first coefficient of the HOMFLY polynomial to find a necessary condition for a knot to be freely periodic. In particular for p=3 we obtain a simple but powerful criterion. As an application we show that some knot cannot have a certain free period.

AB - We use the first coefficient of the HOMFLY polynomial to find a necessary condition for a knot to be freely periodic. In particular for p=3 we obtain a simple but powerful criterion. As an application we show that some knot cannot have a certain free period.

KW - Freely periodic

KW - HOMFLY polynomial

KW - Knots and links

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DO - 10.1016/S0166-8641(01)00093-1

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SP - 535

EP - 542

JO - Topology and its Applications

JF - Topology and its Applications

IS - 3

ER -

The skein polynomial of freely periodic knots

Abstract

Keywords

ASJC Scopus subject areas

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